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{'cm': False, 'coeffs': [5, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 42, 'dirichlet_group': [], 'disc_abs': 6827164613482481052268302490311961787731316589257803648959036653744014110669838349005674862046359, 'disc_rad': 6827164613482481052268302490311961787731316589257803648959036653744014110669838349005674862046359, 'disc_sign': -1, 'frobs': [[2, [[38, 1], [4, 1]]], [3, [[37, 1], [3, 1], [2, 1]]], [5, [[20, 2], [1, 2]]], [7, [[16, 1], [14, 1], [7, 1], [4, 1], [1, 1]]], [11, [[22, 1], [12, 1], [6, 1], [1, 2]]], [13, [[17, 1], [13, 1], [8, 1], [4, 1]]], [17, [[19, 1], [6, 2], [5, 1], [4, 1], [1, 2]]], [19, [[24, 1], [12, 1], [3, 2]]], [23, [[34, 1], [4, 2]]], [29, [[30, 1], [8, 1], [3, 1], [1, 1]]], [31, [[21, 1], [12, 1], [7, 1], [1, 2]]], [37, [[18, 1], [10, 1], [5, 2], [4, 1]]], [41, [[21, 2]]], [43, [[26, 1], [13, 1], [2, 1], [1, 1]]], [47, [[21, 1], [9, 1], [7, 1], [3, 1], [1, 2]]], [53, [[27, 1], [14, 1], [1, 1]]], [59, [[15, 1], [14, 1], [6, 1], [4, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [702503058876439949271571303122255784968192000000000, 702503058876439949271571303122255784968192000000000, 702503058876439949271571303122255784968192000000000, 702503058876439949271571303122255784968192000000000], 'galois_label': '42T9491', 'galt': 9491, 'grd': 2.612884347513774e+48, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '42.0.6827164613482481052268302490311961787731316589257803648959036653744014110669838349005674862046359.1', 'local_algs': ['m2897.1.1.0', 'm2897.1.1.0', 'm2897.1.1.0', 'm2897.2.1.1', 'm2897.1.3.0', 'm2897.1.3.0', 'm2897.1.31.0', 'm16037383.1.2.0', 'm16037383.1.2.0', 'm16037383.2.1.1', 'm16037383.1.3.0', 'm16037383.1.4.0', 'm16037383.1.29.0', 'm15911394874499255951.1.2.0', 'm15911394874499255951.1.2.0', 'm15911394874499255951.1.2.0', 'm15911394874499255951.2.1.1', 'm15911394874499255951.1.5.0', 'm15911394874499255951.1.29.0', 'm9235281219070225126384628429046289956396011098793278160408720753359.1.1.0', 'm9235281219070225126384628429046289956396011098793278160408720753359.2.1.1', 'm9235281219070225126384628429046289956396011098793278160408720753359.1.3.0', 'm9235281219070225126384628429046289956396011098793278160408720753359.1.3.0', 'm9235281219070225126384628429046289956396011098793278160408720753359.1.10.0', 'm9235281219070225126384628429046289956396011098793278160408720753359.1.11.0', 'm9235281219070225126384628429046289956396011098793278160408720753359.1.12.0'], 'monogenic': 1, 'num_ram': 4, 'r2': 21, 'ramps': [2897, 16037383, 15911394874499255951, 9235281219070225126384628429046289956396011098793278160408720753359], 'rd': 202.105043673, 'res': {'ae': []}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27', 'a^28', 'a^29', 'a^30', 'a^31', 'a^32', 'a^33', 'a^34', 'a^35', 'a^36', 'a^37', 'a^38', 'a^39', 'a^40', 'a^41']}